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Finding the Fourth Proportional to 1,364.88, 1,882.83 and 841.23

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Solution

The fourth proportional to 1,364.88, 1,882.83 and 841.23 is: 1,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.88 : 1,882.83 = 841.23 : x
  2. Step 2: Convert to fraction form
    1,364.88/1,882.83 = 841.23/x
  3. Step 3: Cross multiply
    1,364.88x = 1,882.83 × 841.23
  4. Step 4: Simplify right side
    1,364.88x = 1,583,893.08
  5. Step 5: Solve for x
    x = 1,583,893.08/1,364.88
  6. Step 6: Final answer
    x = 1,160.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.